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romanna [79]
3 years ago
12

How many different strings can be formed by rearranging the letters in the word DCDCD?

Mathematics
1 answer:
Natali [406]3 years ago
3 0
<h2>Answer:</h2>

The different strings which can be formed by rearranging the letters in the word DCDCD are:

                                     10

<h2>Step-by-step explanation:</h2>

We are asked to find the different number of arrangements that may be me made in the word:

                               DCDCD

There are a total of 5 words such that D is repeated 3 times and C is repeated two times.

Hence, the total number of ways of arrangement is given by:

=\dfrac{5!}{3!\times 2!}\\\\=\dfrac{5\times 4\times 3!}{3!\times 2!}\\\\=\dfrac{5\times 4}{2!}\\\\=\dfrac{5\times 4}{2}\\\\=10

Hence, the total number of ways are:  10

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